Finding the Fourth Proportional to 9,827.28, 13,561.56 and 5,577.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.28 : 13,561.56 = 5,577.48 : x
2. Step 2: Convert to fraction form
   9,827.28/13,561.56 = 5,577.48/x
3. Step 3: Cross multiply
   9,827.28x = 13,561.56 × 5,577.48
4. Step 4: Simplify right side
   9,827.28x = 75,639,329.67
5. Step 5: Solve for x
   x = 75,639,329.67/9,827.28
6. Step 6: Final answer
   x = 7,696.87